Definition 2.4  
Let \(\mu \)  be a Radon measure on \(G/K,\)  the homogenous space of left \(K\) -cosets and \(g\)  an element of \(G\) . Define \(\mu _{g}\)  by \(\mu _{g}(E) = \mu (gE)\)  for Borel subsets \(E\)  of \(G/K\) . The measure \(\mu \)  is called \(G-\) invariant measure if \(\mu _{g} = \mu \) , for \(g \in G\) . See [1]}, [2]} for more details.

